The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2016-01-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-015-0948-1 |
Summary: | Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds. |
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ISSN: | 1029-242X |